Kurzawa is out of contract at PSG in June and is moving closer towards an exit from Parc des Princes.
A €23m signing from Monaco in 2015, 27-year-old Kurzawa has reportedly not been offered a contract extension by the Parisiens.
His availability, on a free transfer no less, has alerted a host of clubs around Europe.
Serie A club Inter have an interest in him and another PSG full-back on the way out, Thomas Meunier.
It would be quite a coup for Mikel Arteta’s Gunners to sign an established international and Champions League player at no cost.
Kurzawa made 14 appearances in Ligue 1 this season before it wrapped up early. He has won 13 caps for the French national team.